Resolving an inverse problem through a momentum flow within the framework of electromagnetic scattering

Area of Science:

• Electromagnetic scattering theory
• Inverse problems in physics
• Wave propagation in random media

Background:

• Classic potential scattering theory often ignores magnetic field components.
• This limitation restricts the applicability of existing inverse problem approaches.
• Electromagnetic scattering analysis requires considering both electric and magnetic fields.

Purpose of the Study:

• To propose a new technique for inverse problems in electromagnetic scattering.
• To reconstruct the correlation function of a scattering potential in a random medium.
• To overcome limitations of previous methods by including magnetic field aspects.

Main Methods:

• Measuring the electromagnetic momentum flow of the scattered field in the far zone.
• Developing an inversion technique based on scattered wave properties.
• Applying the method to homogeneous, isotropic, and Gaussian-correlated spheres.

Main Results:

• Successfully reconstructed correlation functions of scattering potentials.
• Demonstrated the technique's applicability to various sphere types.
• Validated the new inversion approach for both microscopic and macroscopic scenarios.

Conclusions:

• The proposed technique offers a novel solution for inverse problems in electromagnetic scattering.
• It effectively reconstructs scattering potential characteristics by analyzing momentum flow.
• This method enhances the scope of inverse scattering analysis by incorporating electromagnetic principles.